What is the Least Common Multiple of 46038 and 46052?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 46038 and 46052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46038 and 46052, than apply into the LCM equation.

GCF(46038,46052) = 2
LCM(46038,46052) = ( 46038 × 46052) / 2
LCM(46038,46052) = 2120141976 / 2
LCM(46038,46052) = 1060070988

Least Common Multiple (LCM) of 46038 and 46052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46038 and 46052. First we will calculate the prime factors of 46038 and 46052.

Prime Factorization of 46038

Prime Factorization of 46052

Now multiplying the highest exponent prime factors to calculate the LCM of 46038 and 46052.

LCM(46038,46052) = 2² × 3¹ × 7673¹ × 29¹ × 397¹
LCM(46038,46052) = 1060070988